21976914816 has 320 divisors, whose sum is σ = 68281868160. Its totient is φ = 7008768000.

The previous prime is 21976914811. The next prime is 21976914823. The reversal of 21976914816 is 61841967912.

21976914816 is a `hidden beast` number, since 2 + 1 + 9 + 76 + 91 + 481 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21976914811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32461870 + ... + 32462546.

It is an arithmetic number, because the mean of its divisors is an integer number (213380838).

Almost surely, 2^21976914816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21976914816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34140934080).

21976914816 is an abundant number, since it is smaller than the sum of its proper divisors (46304953344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21976914816 is a wasteful number, since it uses less digits than its factorization.

21976914816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 814 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The spelling of 21976914816 in words is "twenty-one billion, nine hundred seventy-six million, nine hundred fourteen thousand, eight hundred sixteen".